Nitric oxide reacts with hydrogen to give nitrous oxide and water. From the data
ID: 712610 • Letter: N
Question
Nitric oxide reacts with hydrogen to give nitrous oxide and water. From the data below determine the order with respect to nitric oxide
2NO(g) + H2(g) N2O(g) + H2O(g)
Time
(s)
[NO]
(M)
0
0.0064
1
0.002251
2
0.001366
3
0.00098
4
0.000764
5
0.000626
6
0.000531
7
0.00046
8
0.000406
9
0.000364
10
0.000329
11
0.000301
12
0.000277
13
0.000256
14
0.000239
15
0.000223
16
0.00021
17
0.000198
18
0.000187
Time
(s)
[NO]
(M)
0
0.0064
1
0.002251
2
0.001366
3
0.00098
4
0.000764
5
0.000626
6
0.000531
7
0.00046
8
0.000406
9
0.000364
10
0.000329
11
0.000301
12
0.000277
13
0.000256
14
0.000239
15
0.000223
16
0.00021
17
0.000198
18
0.000187
Explanation / Answer
answer : order with respect to NO = 2
explanation:
for second order reaction rate constant formula
K = 1/ t [1 / At - 1/ Ao ]
K = rate constant
t = time
At = concentration at any time
Ao = initial concentration
1) for 1 sec :
K = 1/ 1 [1 / 0.002251 - 1/ 0.0064 ]
k = 288 M-1 s-1
2) for 5 sec :
K = 1/ 1 [1 / 0.000626 - 1/ 0.0064 ]
k = 288 M-1 s-1
3) for 10 sec :
K = 1/ 10 [1 / 0.000329 - 1/ 0.0064 ]
k = 288 M-1 s-1
in all cases second order reaction rate constant value is same so it is second order reaction
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